Answer:
The subsets are
{7,6}
{7}
{6}
{ }
There are four subsets
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Explanation:
A subset is simply a set that contains one or more members of the original set. So all we do is list various ways to pick items from {7,6}. We could pick both items and simply write down the original set itself. Any set is a subset of itself.
Or we could pick one value from the set and have {7} or {6}. These sets are called singletons, as they contain one single value.
Finally, we could have a set with nothing inside it. We write this as { } which is a pair of curly braces with space between them to indicate "empty set". A special symbol for the empty set is [tex]\varnothing[/tex]
Note how the original set has n = 2 members. The rule is that there will be 2^n = 2^2 = 4 subsets. If the original set had say n = 3 members, then there would be 2^n = 2^3 = 8 different subsets. And so on. The collection of all the subsets possible is called a power set.
